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Finding the Fourth Proportional to 1,865.26, 2,796.27 and 768.87

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Solution

The fourth proportional to 1,865.26, 2,796.27 and 768.87 is: 1,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.26 : 2,796.27 = 768.87 : x
  2. Step 2: Convert to fraction form
    1,865.26/2,796.27 = 768.87/x
  3. Step 3: Cross multiply
    1,865.26x = 2,796.27 × 768.87
  4. Step 4: Simplify right side
    1,865.26x = 2,149,968.11
  5. Step 5: Solve for x
    x = 2,149,968.11/1,865.26
  6. Step 6: Final answer
    x = 1,152.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.